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Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics

Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics

Paperback

AlgebraGeneral Computers

ISBN10: 3642074421
ISBN13: 9783642074424
Publisher: Springer
Published: Dec 7 2010
Pages: 551
Weight: 1.74
Height: 1.16 Width: 6.14 Depth: 9.21
Language: English
Clifford algebra, then called geometric algebra, was introduced more than a cenetury ago by William K. Clifford, building on work by Grassmann and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one mother algebra in various subfields of physics and engineering. Recent work outlines that Clifford algebra provides a universal and powerfull algebraic framework for an elegant and coherent representation of various problems occuring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics. This monograph-like anthology introduces the concepts and framework of Clifford algebra and provides computer scientists, engineers, physicists, and mathematicians with a rich source of examples of how to work with this formalism.

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